10100500991 has 16 divisors (see below), whose sum is σ = 12137292288. Its totient is φ = 8217924000.

The previous prime is 10100500987. The next prime is 10100500999. The reversal of 10100500991 is 19900500101.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 10100500991 - 2² = 10100500987 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10100500991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100500999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218360 + ... + 260541.

It is an arithmetic number, because the mean of its divisors is an integer number (758580768).

Almost surely, 2^10100500991 is an apocalyptic number.

10100500991 is a deficient number, since it is larger than the sum of its proper divisors (2036791297).

10100500991 is a wasteful number, since it uses less digits than its factorization.

10100500991 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479062.

The product of its (nonzero) digits is 405, while the sum is 26.

The spelling of 10100500991 in words is "ten billion, one hundred million, five hundred thousand, nine hundred ninety-one".